Originally Posted by

**lamp23** Sudharaka, if I take your suggestion I get (A+2)(A^2 + 2A + 5) = 0 but the problem is I knew to divide by a+2 only by inspection. Thus, that's not following the directions of solve algebraically.

I think either she didn't want me to use purely analytic methods once I got to a^3 + a = 10 or it might be a typo actually where it was supposed to be A^1 or A^2 instead of A^3. Or maybe by solve algebraically she just wanted me to get to the A^3 + A = 10 part and then maybe she wanted me to do that by inspection.